Construction of the reachability set of the Lotka-Volterra system

2006 ◽  
Vol 42 (3) ◽  
pp. 391-399 ◽  
Author(s):  
P. V. Prostyakov
Keyword(s):  
Volterra System ◽  
Reachability Set

Efficient algorithms for Volterra system identification

1999 ◽  
Vol 47 (11) ◽  
pp. 3042-3057 ◽  
Author(s):  
G.-O.A. Glentis ◽  
P. Koukoulas ◽  
N. Kalouptsidis
Keyword(s):  
System Identification ◽  
Efficient Algorithms ◽  
Volterra System

The five-variable Volterra system

2011 ◽  
Vol 9 (4) ◽  
pp. 888-896 ◽  
Author(s):  
Janusz Zieliński
Keyword(s):  
Volterra System

On the reachability set of a string

1987 ◽  
Vol 49 (1-2) ◽  
pp. 203-211 ◽  
Author(s):  
I. Joó
Keyword(s):  
Reachability Set

Global dissipativity of stochastic Lotka–Volterra system with feedback controls

2017 ◽  
Vol 10 (02) ◽  
pp. 1750022 ◽  
Author(s):  
Qimin Zhang ◽  
Xinjing Zhang ◽  
Hongfu Yang
Keyword(s):  
Linear Matrix Inequalities ◽  
Lyapunov Functions ◽  
Sufficient Conditions ◽  
Jensen Inequality ◽  
Linear Matrix ◽  
Mean Square ◽  
Matrix Inequalities ◽  
Volterra System ◽  
Feedback Controls ◽  
The Mean

In this paper, a class of stochastic Lotka–Volterra system with feedback controls is considered. The purpose is to establish some criteria to ensure the system is globally dissipative in the mean square. By constructing suitable Lyapunov functions as well as combining with Jensen inequality and It[Formula: see text] formula, the sufficient conditions are established and they are expressed in terms of the feasibility to a couple linear matrix inequalities (LMIs). Finally, the main results are illustrated by examples.

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